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By using superposition of specific configurations, it can be shown that for any linear “black box” circuit which contains voltage sources and resistors, its voltage is a linear function of the corresponding current as follows. The first step is to use superposition theorem to construct a solution.

A zero valued voltage source would create a potential difference of zero volts between its terminals, regardless of the current that passes through it; its replacement, a short circuit, does the same thing. Theorem in circuit analysis. Circuit lo Linear electronic circuits. In other words, the above relation holds true independent of what the “black box” is plugged to. In other projects Wikimedia Commons. That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit.

## ThÃ©venin’s theorem

Here, the first term reflects the linear summation of contributions from each voltage source, while the second term measures the contributions from all the resistors. From Wikipedia, the free encyclopedia. Articles with short description Articles tthevenin additional references from November All articles needing additional references.

Unsourced material may be challenged and removed. The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th.

This article needs additional citations for verification. The replacements of voltage and current sources do what the sources would do if their values were set to zero. Retrieved from ” https: This page was last edited on 27 Decemberat The proof involves two steps.

Views Read Edit View history. If there are dependent sources in the circuit, another method theveenin be used such as connecting a test source across A and B and calculating the voltage across or current through the test source. Please help improve this article by adding citations to reliable sources. It means the theorem applies for AC in an exactly same way to DC except ve resistances are generalized to impedances. In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance.

### ThÃ©venin’s theorem – Wikipedia

A zero valued current source passes zero current, regardless of the voltage across it; its replacement, an open circuit, does the same thing. The resistance is measured after replacing all voltage- and current-sources with their internal resistances. Ds circuit The equivalent voltage The equivalent resistance The equivalent circuit. Now, the uniqueness theorem guarantees that the result is general. The theorem also applies to frequency domain AC circuits consisting of reactive ve resistive impedances.

Resistance can then be calculated across the terminals using the formulae for series and parallel circuits. Thevdnin Learn how and when to remove this template message. It is noted that the second step is usually implied in literature. By using this site, you agree to the Terms of Use and Privacy Policy.

Then, uniqueness theorem is employed to show that the obtained solution is unique. This method is valid only for circuits with independent sources.